Highest Common Factor of 6392, 9930 using Euclid's algorithm
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
HCF Calculator using the Euclid Division Algorithm helps you to find the Highest common factor (HCF) easily for 6392, 9930 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 6392, 9930 is 2 the largest number which exactly divides all the numbers i.e. where the remainder is zero. Let us get into the working of this example.
Consider we have numbers 6392, 9930 and we need to find the HCF of these numbers. To do so, we need to choose the largest integer first and then as per Euclid's Division Lemma a = bq + r where 0 ≤ r ≤ b
Highest common factor (HCF) of 6392, 9930 is 2.
HCF(6392, 9930) = 2
HCF of 6392, 9930 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6392, 9930 is 2.
Highest Common Factor of 6392,9930 is 2
Step 1: Since 9930 > 6392, we apply the division lemma to 9930 and 6392, to get
9930 = 6392 x 1 + 3538
Step 2: Since the reminder 6392 ≠ 0, we apply division lemma to 3538 and 6392, to get
6392 = 3538 x 1 + 2854
Step 3: We consider the new divisor 3538 and the new remainder 2854, and apply the division lemma to get
3538 = 2854 x 1 + 684
We consider the new divisor 2854 and the new remainder 684,and apply the division lemma to get
2854 = 684 x 4 + 118
We consider the new divisor 684 and the new remainder 118,and apply the division lemma to get
684 = 118 x 5 + 94
We consider the new divisor 118 and the new remainder 94,and apply the division lemma to get
118 = 94 x 1 + 24
We consider the new divisor 94 and the new remainder 24,and apply the division lemma to get
94 = 24 x 3 + 22
We consider the new divisor 24 and the new remainder 22,and apply the division lemma to get
24 = 22 x 1 + 2
We consider the new divisor 22 and the new remainder 2,and apply the division lemma to get
22 = 2 x 11 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 6392 and 9930 is 2
Notice that 2 = HCF(22,2) = HCF(24,22) = HCF(94,24) = HCF(118,94) = HCF(684,118) = HCF(2854,684) = HCF(3538,2854) = HCF(6392,3538) = HCF(9930,6392) .
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Frequently Asked Questions on HCF of 6392, 9930 using Euclid's Algorithm
1. What is the Euclid division algorithm?
Answer: Euclid's Division Algorithm is a technique to compute the Highest Common Factor (HCF) of given positive integers.
2. what is the HCF of 6392, 9930?
Answer: HCF of 6392, 9930 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6392, 9930 using Euclid's Algorithm?
Answer: For arbitrary numbers 6392, 9930 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
